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12 July, 06:27

The theoretical maximum specific gravity of a mix at 5.0% binder content is 2.495. Using a binder specific gravity of 1.0, find the theoretical maximum specific gravity at 6.5% binder content. (Hint: Both use the same stone, therefore have the same Gmb)

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  1. 12 July, 06:40
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    The theoretical maximum specific gravity at 6.5% binder content is 2.44.

    Explanation:

    Given the specific gravity at 5.0 % binder content 2.495

    Therefore

    95 % mix + 5 % binder gives S. G. = 2.495

    Where the binder is S. G. = 1, Therefore

    Per 100 mass unit we have (Mx + 5) / (Vx + 5) = 2.495

    (95 + 5) / (Vx + 5) = 2.495

    2.495 * (Vx + 5) = 100

    Vx = 35.08 to 95

    Or density of mix = Mx/Vx = 95/35.08 = 2.7081

    Therefore when we have 6.5 % binder content, we get

    Per 100 mass unit

    93.5 Mass unit of Mx has a volume of

    Mass/Density = 93.5/2.7081 = 34.526 volume units

    Therefore we have

    At 6.5 % binder content.

    (100 mass unit) / (34.526 + 6.5) = 2.44

    The theoretical maximum specific gravity at 6.5% binder content = 2.44.
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